The quality-control manager at a compact fluorescent light bulb (CFL) factory needs to determine whether the mean life of a large shipment of CFLs is equal to 7530 hours. The population standard deviation is 980 hours. A random sample of 49 light bulbs indicates a sample mean life of 7,292 hours. a. At the 0.05 level of significance, is there evidence that the mean life is different from 7530 hours? b. Compute the p-value and interpret its meaning. c. Construct a 95% confidence interval estimate of the population mean life of the light bulbs. d. Compare the results of (a) and (c). What conclusions do you reach? e. Compare the results of parts (a) through (d) to those when the standard deviation is 700 hours. a. Let u be the population mean. Determine the null hypothesis, Ho, and the alternative hypothesis, H,.. 7530 7530 Ho: H₁ CHE What is the test statistic? ZSTAT (Round to two decimal places as needed.)

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The quality-control manager at a compact fluorescent light bulb (CFL) factory needs to determine whether the mean life of a large shipment of CFLs is equal to 7530 hours. The population standard
deviation is 980 hours. A random sample of 49 light bulbs indicates a sample mean life of 7,292 hours.
a. At the 0.05 level of significance, is there evidence that the mean life is different from 7530 hours?
b. Compute the p-value and interpret its meaning.
c. Construct a 95% confidence interval estimate of the population mean life of the light bulbs.
d. Compare the results of (a) and (c). What conclusions do you reach?
e. Compare the results of parts (a) through (d) to those when the standard deviation is 700 hours.
a. Let u be the population mean. Determine the null hypothesis, Ho, and the alternative hypothesis, H,..
7530
7530
Ho:
H:
C
What is the test statistic?
ZSTAT (Round to two decimal places as needed.)
Transcribed Image Text:The quality-control manager at a compact fluorescent light bulb (CFL) factory needs to determine whether the mean life of a large shipment of CFLs is equal to 7530 hours. The population standard deviation is 980 hours. A random sample of 49 light bulbs indicates a sample mean life of 7,292 hours. a. At the 0.05 level of significance, is there evidence that the mean life is different from 7530 hours? b. Compute the p-value and interpret its meaning. c. Construct a 95% confidence interval estimate of the population mean life of the light bulbs. d. Compare the results of (a) and (c). What conclusions do you reach? e. Compare the results of parts (a) through (d) to those when the standard deviation is 700 hours. a. Let u be the population mean. Determine the null hypothesis, Ho, and the alternative hypothesis, H,.. 7530 7530 Ho: H: C What is the test statistic? ZSTAT (Round to two decimal places as needed.)
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